Question

In the given figure, $AB\parallel CE$ and $DF\parallel CB$. Find the value of $x$ and $y$

Answer 1

$y=\angle DAB$ [Alternate angle since $AB\parallel CD$]

$=60$

$\angle BCD=\angle FDE$ [corresponding angle since $CB\parallel DF$]

$\therefore \angle BCD=50$

$\angle x=\angle BCD$ [Alternate angle since $AB\parallel CD$]